[wihcptju] 2D manifold maze embedded in Euclidean 3D

The maze is 2D (every junction is straight, left, right, or backward) but the paths twist, curve, and fly around in 3D.  Assume the character is wearing magnetic boots.  Can the player keep track of where they are in 3D, forming a mental map in 3D?  Perhaps the task is to get to or near a point specified in 3D.  Easier might be if the path direction changes are also only orthogonal, walking up a wall or down a cliff.

Vaguely similar to Perplexus marble dexterity puzzle.